In this communication, one novel attempt has been made towards the design of minimum-phase finite impulse response (FIR) filter using one evolutionary computation technique, named differential evolution (DE) algorithm. Mean square error (MSE) between the frequency samples of the ideal filter and the designed filter in the pass-band and stop-band region and the minimum average error (MAE) between the frequency samples in the transition-band region had been considered for the formulation of the objective function in the optimization process. Performance of the optimization technique has been monitored in terms of convergence characteristics for four different orders of FIR filter under consideration. Robustness of our proposition has been firmly established in the sense that the proposed algorithm can be suitably tuned for the design of low-pass, high-pass or band-pass FIR filter of different specifications. Supremacy of the proposed algorithm over other existing techniques for the design of minimum-phase FIR filter has been substantiated by means of frequency response and pole-zero diagrams.

中文翻译：

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最小相位FIR滤波器的设计：一种进化方法

在这种通信中，已经进行了一种新颖的尝试，即使用一种称为微分进化（DE）算法的进化计算技术来设计最小相位有限冲激响应（FIR）滤波器。考虑了通带和阻带区域中理想滤波器和设计滤波器的频率样本之间的均方误差（MSE）和过渡带区域中频率样本之间的最小平均误差（MAE）优化过程中目标函数的表述。已针对所考虑的四个不同阶数的FIR滤波器的收敛特性，对优化技术的性能进行了监控。在某种程度上，我们提出的算法可以针对低通设计进行适当调整，因此我们的命题的稳健性得到了牢固的确立。不同规格的高通或带通FIR滤波器。借助于频率响应和零极点图，已经证明了所提出算法相对于其他现有技术的最小相位FIR滤波器设计的优越性。